Recent Tutoring Session Reviews
"The student and I reviewed theorems and problems for a quiz he will have tomorrow. The quiz covers circles with tangent and secant lines extending which meet to form angles. The problems involve the need to solve for arc angles formed along the circle's edge, related in various ways to the lines' intersecting angle measures, and back and forth in different situations. The student solved the problems very well and was strong in his application of the theorems to different situations. He should score well on his quiz."
"We reviewed systems of equations graphically and algebraically. Examining aspects of rate of change and slope intercept form. Compared two linear equations to find the intersection and the solution to the problem in addition understanding the relationship each variable carries. We completed practice problems of constructing functional equations comparing two variables. In addition solving for the solution of the equation noting the intersection of the coordinate point. We also conducted some practice with solving for systems of equations algebraically using substitution and elimination."
"This session we started by discussing an assignment from Module 8 in which the student missed two problems that neither of us expected to have missed. After reviewing these problems, it seems very clear that he got the right answers and that the answer key is faulty (in one case, it asks for the percent change which is always calculated as the amount of the change divided by the amount of the original but instead that calculated what percent the new value was of the original value, and the other case was a similar case in which the question asked for one calculation but the answer was found by performing another). At any rate, I told him that he should contact his instructor and explain how he got his answers based on the way the questions were worded to show that there is an issue in the answer key, not in his responses. After this, we began module 9, circles, by reviewing the pretest and then reading through and doing the practice problems for the first section."
"The student had a long review assignment that would be graded. It was an algebra review assignment which included factoring polynomials, inequalities, and simplifying radicals. She did pretty well factoring and simplifying polynomials. We had to do a little bit of review with inequalities and simplifying radicals. Most of this material was from last year and so she was a little bit rusty. But by the end of the session it had all come back to her. She does need to pay closer attention to the sign of the number. She sometimes drops or adds negatives and it changes the whole problem. I told her to double check that she carried the right sign after each step in order to avoid making that minor mistake."
"Today, the student and I started the session with a review of the practice problem I left him with last week. He was not only confident in walking me through the problem, but also had the correct answer! It was a great pleasure to hear from him that he felt that he understood the lesson we covered early. We quickly moved on to another topic that he said was slightly "tricky": finding the area of sectors. We covered multiple examples from his notes as reinforcement from his class lecture and also began his weekend homework. After we were able to iron out a few of the confusing parts, we were able to hit the ground running. We parted our session after walking through an example that was slightly more challenging: finding the area of a section of a sector. He seemed to have a very firm grasp on the walk through and was actively engaged in solving the multiple parts I presented him with. His confidence and comfort with the material may also be noted in his intentions to "dive in" to problems that are slightly more challenging than the already-covered examples. Upon our conversation, he noted that he can feel that he has progressed from a month ago. It was very reassuring to see that he not only was studying notes that we covered in prior sessions but that he's actively making an effort to recall older mathematical concepts."
"In today's session with the student, we reviewed more material for his Chapter 11 quizzes and exam taking place next week. He had no trouble with any concept in particular, but he definitely benefited from further practice with setting up proportions and calculating scale factors between similar polygons. The student has a genuine curiosity and thirst for knowledge, and he was very motivated to complete lots of practice problems. After reviewing this material, we strategized a study plan for his finals coming in 5 weeks. Considering that he will have five chapters to review for his geometry final, I urged him to review one chapter per week, studying about one hour a day and laying out exactly what he will do on each day. This way, he will hold himself accountable on each day and will know exactly what he needs to complete. I am sure that he will succeed as long as he sets up a plan and sticks to it."